**TTH-Math-Olympiad**

Time allowed – 30 minutes

- Kirsty’s school locker has a two-digit number on it. The sum of the two digits is 10 and their difference is 2.If the locker number is less than 50, what number is it?
- When Louise put 25 golf balls in her bag, it was 1/2 full. When Matt put 17 golf balls in his bag, it was 1/3 full. When Nick put 12 golf balls in his bag, it was 1/4 full.Who had the largest bag?
- The pictures on the right show how matches can be used to make triangular shapes that have one, two and three matches along a side.How many matches are needed to make a triangular shape of the same pattern, which has 6 matches along one side?
- One rectangular wall of Bob’s house contains a door and a window. Bob wants to paint this wall, but not the door (nor the window!). The wall is 7 m by 3 m, the door is 2 m by 1 m, and the window is 2 m by 1.5 m. If each can of paint covers 4 sq m, how many cans should Bob buy for one coat of paint?
- Tina’s house and her school are on the corners of square blocks as shown. The shortest distance from her house to the school is along the sides of 5 blocks. Two such paths are shown.How many different paths are there of this length from Tina’s house to her school (
*including* the two paths shown)?

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